How to solve for x 6x^2 + 7x +2 = 0

Explanation:

You need to factor this quadratic by playing with multipliers for 6 (1x6, 2x3, 3x2, 6x1) and multipliers for 2 (1x2, 2x1):

(

2

x

+

1

)

(

3

x

+

2

)

=

0

Now we can solve each term for

0

:

2

x

+

1

=

0

2

x

+

1

−

1

=

0

−

1

2

x

=

−

1

2

x

2

=

−

1

2

x

=

−

1

2

and

3

x

+

2

=

0

3

x

+

2

−

2

=

0

−

2

3

x

=

−

2

3

x

3

=

−

2

3

x

=

−

2

3